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Finding the Fourth Proportional to 83,006, 114,548.28 and 45,280.40

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Solution

The fourth proportional to 83,006, 114,548.28 and 45,280.40 is: 62,486.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,006 : 114,548.28 = 45,280.40 : x
  2. Step 2: Convert to fraction form
    83,006/114,548.28 = 45,280.40/x
  3. Step 3: Cross multiply
    83,006x = 114,548.28 × 45,280.40
  4. Step 4: Simplify right side
    83,006x = 5,186,791,937.71
  5. Step 5: Solve for x
    x = 5,186,791,937.71/83,006
  6. Step 6: Final answer
    x = 62,486.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.